Microfluidics: Modeling, Mechanics and Mathematics

Microfluidics: Modeling, Mechanics and Mathematics

Modeling, Mechanics and Mathematics

1st Edition - December 1, 2016

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  • Author: Bastian Rapp
  • Hardcover ISBN: 9781455731411
  • eBook ISBN: 9781455731510

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This practical, lab-based approach to nano- and microfluidics provides readers with a wealth of practical techniques, protocols, and experiments ready to be put into practice in both research and industrial settings. The practical approach is ideally suited to researchers and R&D staff in industry; additionally the interdisciplinary approach to the science of nano- and microfluidics enables readers from a range of different academic disciplines to broaden their understanding. Dr Rapp fully engages with the multidisciplinary nature of the subject. Alongside traditional fluid/transport topics, there is a wealth of coverage of materials and manufacturing techniques, chemical modification/surface functionalization, biochemical analysis, and the biosensors involved. As well as providing a clear and concise overview to get started into the multidisciplinary field of microfluidics and practical guidance on techniques, pitfalls and troubleshooting, this book supplies: A set of hands-on experiments and protocols that will help setting up lab experiments but which will also allow a quick start into practical work. A collection of microfluidic structures, with 3D-CAD and image data that can be used directly (files provided on a companion website).

Key Features

  • A practical guide to the successful design and implementation of nano- and microfluidic processes (e.g. biosensing) and equipment (e.g., biosensors, such as diabetes blood glucose sensors)
  • Provides techniques, experiments, and protocols ready to be put to use in the lab, in an academic, or industry setting
  • A collection of 3D-CAD and image files is provided on a companion website


Engineers and scientists involved in designing and making use of nano/microfluidics techniques and equipment. Disciplines include engineering, materials science, biosensing, biochemistry, and medicine. Relevant to academia / research and industry

Table of Contents

  • Part I Fundamentals
    1. Introduction
    2. Introduction to Maple
    3. Engineering Mathematics
    4. Series
    5. Transforms
    6. Thermodynamics
    7. Vector Calculus
    8. Differential Equations

    Part II Bulk Fluid Flows
    9. Fluids
    10. Conservation of Mass: The Continuity Equation
    11. Conservation of Momentum: The Navier-Stokes Equation
    12. Conservation of Energy: The Energy Equation and the Thermodynamic Equation of State
    13. Continuity and Navier-Stokes Equations in Different Coordinate Systems
    14. The Circular Flow Tube
    15. Analytical Solutions to the Navier-Stokes Equation
    16. Analytical Solutions to Poiseuille Flow Problems in Different Geometries
    17. Hydraulic Resistance
    18. Analytical Solutions to Transient Flow Problems
    19. Taylor-Aris Dispersion

    Part III Fluid Surface Effects
    20. Surface Tension
    21. Capillarity
    22. Measuring Surface Tension and Free Surface Energy
    23. Plateau-Rayleigh Instability
    24. The Shape of Drops

    Part IV Numerics
    25. Numerical Methods for Linear Systems of Equations
    26. Numerical Solutions to Nonlinear Systems: Newton’s Method
    27. Numerical Methods for Solving Differential Equations
    28. Numerical Solutions to the Navier-Stokes Equation
    29. Computational Fluid Dynamics
    30. Finite Difference Method
    31. Finite Volume Method
    32. Finite Element Method
    33. Numerical Solutions to Transient Flow Problems
    34. Numerical Solutions to Three-Dimensional Flow Problems

Product details

  • No. of pages: 830
  • Language: English
  • Copyright: © Elsevier 2016
  • Published: December 1, 2016
  • Imprint: Elsevier
  • Hardcover ISBN: 9781455731411
  • eBook ISBN: 9781455731510

About the Author

Bastian Rapp

Dr Bastian Rapp is currently employed as Head of Group at the Karlsruhe Institute of Technology (KIT), Institute of Microstructure Technology, Eggenstein-Leopoldshafen, Germany. His research interests are biomechanical engineering, microfluidics, biomaterials and microfabrication.

Affiliations and Expertise

Head of Group, Institute of Microstructure Technology (IMT), Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany

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  • Wai K. Sun Jun 09 2019

    Nice for introduction to such

    Nice for introduction to such complicated topic.